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Projections inducing automorphisms ofstable UHF-algebras

Published online by Cambridge University Press:  01 October 1999

Kazunori Kodaka
Kazunori Kodaka
Affiliation:
coy Department of Mathematical Sciences, College of Science, Ryukyu University, Nishihara-cho, Okinawa, 903-0213 Japan
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Abstract

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Let A be a UHF-algebra and K the C*-algebra of all compact operators on a countably infinite-dimensional Hilbert space. In this note we shall find all projections p in A with $pAp\congA$ and, using these projections, we shall determine the group of automorphisms of $K_0(A\otimes$K) induced by those of $A\otimes$K in some cases.

1991 Mathematics Subject Classification 46 L40.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 41 , Issue 3 , October 1999 , pp. 345 - 354
Copyright
1999 Glasgow Mathematical Journal Trust